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Finding the Third Proportional to 262,231 and 575,006

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Solution

The third proportional to 262,231 and 575,006 is: 1,260,842.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,231 : 575,006 = 575,006 : x
  2. Step 2: Convert to fraction form
    262,231/575,006 = 575,006/x
  3. Step 3: Cross multiply
    262,231x = 575,006 × 575,006
  4. Step 4: Simplify right side
    262,231x = 330,631,900,036
  5. Step 5: Solve for x
    x = 330,631,900,036/262,231
  6. Step 6: Final answer
    x = 1,260,842.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.